Prize Puzzle Competition 5

13.

An anagram is a word or phrase whose letters can be re-arranged to make some other word or phrase. For example: claim hat mateis an anagram of: mathematical.Here are 9 anagrams to be solved - each makes a single word which is used in mathematics - and ALL 9 must be done.

laces

Vi died

crust in boat

coster

Dina do it

cat liver

use ream

Sam, cheat Tim

implicit in a lot

14.

Starting in any cell of the grid on the right, moving up and down or across, but NOT diagonally, it is possible to make a tour which visits all 9 cells of the grid.A tour may start in any one of the 9 cells. Given that no cell may be visited more than once (so the tour cannot cross over itself) how many different tours are possible?

A

B

C

D

E

F

G

H

J

15.

The drawing shows 2 oblongs with ABCD resting on top of AECF.Though the oblongs are of different sizes, corners A and C are coincident. All edges are an exact number of centimetres in length.What are the areas of the two smallest oblongs for which this is possible?

The winner of Competition #4 was Henry Logan of BromleyThe answers were:

10.

Many possible answers

11.

196 different squares

12.

4.51% (to 3 sig. figs.)

There was plenty of variety in the pandigital sums - only a few did some re-arranging of the '153' example.Nearly everyone counted all the different squares correctly.The error in the 'circle-squaring' method was found by many (and expressed in a variety of ways).Well done.